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Finding the Fourth Proportional to 7,121.93, 10,684.10 and 2,442.39

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Solution

The fourth proportional to 7,121.93, 10,684.10 and 2,442.39 is: 3,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.93 : 10,684.10 = 2,442.39 : x
  2. Step 2: Convert to fraction form
    7,121.93/10,684.10 = 2,442.39/x
  3. Step 3: Cross multiply
    7,121.93x = 10,684.10 × 2,442.39
  4. Step 4: Simplify right side
    7,121.93x = 26,094,705.04
  5. Step 5: Solve for x
    x = 26,094,705.04/7,121.93
  6. Step 6: Final answer
    x = 3,664.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.